Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/26,532/62,807/668
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 150,532,807
Greatest Common Factor of Numerators i.e. GCF of 150,532,807 is 1 .
LCM of Denominators means LCM of 26,62,668 as per the given fractions.
LCM of 26,62,668 is 269204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 150,532,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 150,532,807 . The biggest common factor number is the GCF number.
So the greatest common factor 150,532,807 is 1.
Lets's calculate LCM of 26,62,668
2 | 26, 62, 668 |
13, 31, 334 |
∴ So the LCM of the given numbers is 2 x 13 x 31 x 334 = 269204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269204
Therefore, the GCF of Fractions 150/26,532/62,807/668 is 1/269204
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 26,62,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,62,668) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(26,62,668) x common factors =2 x 2 = 4
LCM(26,62,668) = ( 26 × 62 × 668 ) / 4
LCM(26,62,668) = 1076816 / 4
LCM(26,62,668) = 269204
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 150/26, 532/62, 807/668?
Answer: GCF of Numerators as per given numbers 150/26, 532/62, 807/668 is
GCF of Numerators i.e. for 150,532,807 is 1
LCM of denominators i.e. for 26,62,668 is 269204.
Thus, GCF of Fractions is 1/269204.Finally, GCF of Fractions for 150/26, 532/62, 807/668 is 1/269204.